Worksheet on Square Root using Prime Factorization Method



In worksheet on square root using prime factorization method we will solve various types of question to find the square root of a given number.


Find the square root of each of the following numbers by using the method of prime factorization:

1. 225

2. 441

3. 729

4. 1296

5. 2025 

6. 4096 

7. 7056 

8. 8100

9. 9216 

10. 11025

11. 15876

12. 17424 




13. Find the smallest number by which 1008 must be multiplied to get a perfect square. Also, find the square root of the perfect square so obtained.

14. 1225 plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows. Find the number of rows and the number of plants in each row.

15. The students of a class arranged a picnic. Each student contributed as many rupees as the number of students in the class. If the total contribution is Rs 1156, find the strength of the class.

16. Find the smallest number by which 768 must be multiplied to get the perfect square number.


Students can check the answers of worksheet on square root using prime factorization given below after solving questions.

Answers:

1. 15

2. 21

3. 27

4. 36

5. 45

6. 64

7. 84

8. 90

9. 96

10. 105

11. 126

12. 132

13. 7, 84

14. 35, 35

15. 34

16. 3


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